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Finding the Fourth Proportional to 298.56, 412.25 and 199.07

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Solution

The fourth proportional to 298.56, 412.25 and 199.07 is: 274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.56 : 412.25 = 199.07 : x
  2. Step 2: Convert to fraction form
    298.56/412.25 = 199.07/x
  3. Step 3: Cross multiply
    298.56x = 412.25 × 199.07
  4. Step 4: Simplify right side
    298.56x = 82,066.61
  5. Step 5: Solve for x
    x = 82,066.61/298.56
  6. Step 6: Final answer
    x = 274.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.